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Finding the Fourth Proportional to 217,846.53, 326,491.43 and 175,746.47

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Solution

The fourth proportional to 217,846.53, 326,491.43 and 175,746.47 is: 263,395.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,846.53 : 326,491.43 = 175,746.47 : x
  2. Step 2: Convert to fraction form
    217,846.53/326,491.43 = 175,746.47/x
  3. Step 3: Cross multiply
    217,846.53x = 326,491.43 × 175,746.47
  4. Step 4: Simplify right side
    217,846.53x = 57,379,713,796.56
  5. Step 5: Solve for x
    x = 57,379,713,796.56/217,846.53
  6. Step 6: Final answer
    x = 263,395.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.